3 papers
math.DS2026
A generalization of the Takagi function for beta-expansions
Shintaro Suzuki
We consider a generalized Takagi function for beta-expansions with the base , motivated by multifractal analysis for digit frequency sets of beta-expansions [20]. We sho…
math.DS2026
Dimension spectrum of digit frequency sets for beta-expansions
Shintaro Suzuki
For any beta-shift on two symbols, i.e., the symbolic coding of the beta-map for , we give an exact formula for the Hausdorff dimension …
math.DS2025
Annealed and quenched representations of the Gauss-Rényi measure by "periodic points"
Shintaro Suzuki, Hiroki Takahasi
We consider independently identically distributed random compositions of the Gauss and Rényi maps that generate random continued fractions. Using methods of ergodic theory, thermo…